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Finding the Third Proportional to 75,342 and 165,751

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Solution

The third proportional to 75,342 and 165,751 is: 364,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,342 : 165,751 = 165,751 : x
  2. Step 2: Convert to fraction form
    75,342/165,751 = 165,751/x
  3. Step 3: Cross multiply
    75,342x = 165,751 × 165,751
  4. Step 4: Simplify right side
    75,342x = 27,473,394,001
  5. Step 5: Solve for x
    x = 27,473,394,001/75,342
  6. Step 6: Final answer
    x = 364,649.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.